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142935419880 = 233351114980749
BaseRepresentation
bin1000010100011110011…
…1010110101111101000
3111122221102012122211000
42011013213112233220
54320212431414010
6145355202035000
713220034010521
oct2050747265750
9448842178730
10142935419880
1155689355590
1223850948a60
131062ba84936
146cbd423848
153ab87aa7c0
hex21479d6be8

142935419880 has 256 divisors, whose sum is σ = 523260000000. Its totient is φ = 34418027520.

The previous prime is 142935419863. The next prime is 142935419899. The reversal of 142935419880 is 88914539241.

It is a happy number.

142935419880 is a `hidden beast` number, since 1 + 4 + 2 + 9 + 3 + 541 + 98 + 8 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1729746 + ... + 1810494.

It is an arithmetic number, because the mean of its divisors is an integer number (2043984375).

Almost surely, 2142935419880 is an apocalyptic number.

142935419880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142935419880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261630000000).

142935419880 is an abundant number, since it is smaller than the sum of its proper divisors (380324580120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

142935419880 is a wasteful number, since it uses less digits than its factorization.

142935419880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80929 (or 80919 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 142935419880 in words is "one hundred forty-two billion, nine hundred thirty-five million, four hundred nineteen thousand, eight hundred eighty".